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hermite.v

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(* `⌊x⌋ : floor function *)
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(* `⌈x⌋ : nearest-int function with `⌈ n + 1/2 ⌋ = n + 1 *)
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(* *)
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(* hermite's identity : `⌊nx⌋ = \sum_(k < n) `⌊x + k / n⌋ *)
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(* Hermite's identity : `⌊nx⌋ = \sum_(k < n) `⌊x + k / n⌋ *)
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(* *)
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(* special case when n = 2 : `⌊2x⌋ - `⌊x⌋ = `⌈x⌋ *)
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(******************************************************************************)

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